We present Bach's Ricercar a 6 from the Musical Offering, in 11 tunings:
01 Golden Meantone
02 Peppermint
03 17 Well Temperament
04_31&46_Well Temperament
05 -1/9-Schisma_Pythagorean_(12 notes)
06 19edo
07 Rameau_Schulter 3&9 a
08 Rameau_Schulter 3&9 b
09 2x(5&7)-Well-Temperament
10 Rameau ordinaire
11 Semi-Just Intonation
Sound Production: (c) Claudi Meneghin, copyright claim SRu 1-345-269 August 01, 2018 at the Library of Congress
Played at midi organ.
Which Well Temperaments are these?
ReplyDeleteI'm posting Scala files or synthetic info:
ReplyDelete17WT:
!
!
17WT
17
!
80.0
122.5
194.0
288.0
345.5
388.0
496.0
568.5
611.0
697.0
784.0
834.0
891.0
992.0
1057.0
1099.5
2/1
31&46: 7 fifths from 31edo and 5 from 46edo, plus distribution of the 1.8 cents error along all the fifths;
Rameau-Schulter: both consist of 9 fifths as large as 697 cents, plus 3 fifths as large as 709 cents; a) the sharp fifths are placed after C#; b) the three sharp fifths are placed before C;
2x(5&7)-Well-Temperament: 10 fifths as large as 696.5 cents, from F to D#, 14 fifths as large as 702.5 cents to close the circle, with Fb=E and Gbb=E#;
Rameau Ordinaire: 8 meantone fifths from C to G#, 4 fifths as large as 706.844 cents to close the circle :)